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Simplifying 13 + 4q = -3q + 12 Reorder the terms: 13 + 4q = 12 + -3q Solving 13 + 4q = 12 + -3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3q' to each side of the equation. 13 + 4q + 3q = 12 + -3q + 3q Combine like terms: 4q + 3q = 7q 13 + 7q = 12 + -3q + 3q Combine like terms: -3q + 3q = 0 13 + 7q = 12 + 0 13 + 7q = 12 Add '-13' to each side of the equation. 13 + -13 + 7q = 12 + -13 Combine like terms: 13 + -13 = 0 0 + 7q = 12 + -13 7q = 12 + -13 Combine like terms: 12 + -13 = -1 7q = -1 Divide each side by '7'. q = -0.1428571429 Simplifying q = -0.1428571429
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